The Diffusion Handbook: Applied Solutions for Engineers is the 2011 recipient of the R.R. Hawkins Award, the top prize of the Association of American Publishers’ PROSE Awards and one of the highest recognitions in the world of professional and scholarly publishing. The book is also the winner of the 2011 PROSE Award for Excellence in Physical Sciences & Mathematics and the Engineering & Technology category award.
The Diffusion Handbook provides more than 1,000 ready-made solutions to boundary-value problems associated with Dirichlet, Neumann, and Robin boundary conditions. The book also offers variations, including:
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Subdivided systems where the properties of each continuum are uniform but discontinuous at the interface
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Solutions involving boundary conditions of the mixed type, where the function is prescribed over part of the boundary and its normal derivative over the remaining part
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Problems that involve space- and time-dependent boundary conditions
All semi-analytic solutions presented in this practical resource are accompanied by prescriptions for numerical computation. The diffusion coefficient and the initial and boundary conditions used in this book apply to fluid flow in a porous medium. All solutions can be equally applied to problems in heat conduction and mass transfer.
Preface
Chapter 1 : Preliminaries
Chapter 2 : Integral Transforms and Their Inversion Formulae
Chapter 3 : Infinite and Semi-Infinite Continua
Chapter 4 : Bounded Continuum
Chapter 5 : Infinite and Semi-Infinite (Quadrant) Continua
Chatper 6 : Infinite and Semi-Infinite Lamellae
Chapter 7 : Rectangle
Chapter 8 : Infinite and Semi-Infinite (Octant) Continua
Chapter 9 : Quadrant Layer : Infinite and Semi-Infinite Continua
Chapter 10 : Octant Layer : Infinite and Semi-Infinite Continua
Chapter 11 : Cuboid
Chapter 12 : Infinite and Semi-Infinite Cylindrical Continua
Chapter 13 : Bounded Cylindrical Continua
Chapter 14 : Infinite and Semi-Infinite Cylindrical Continua
Chapter 15 : Bounded Cylindrical Continuum
Chapter 16 : Wedge-Shaped Infinite and Semi-Infinite Continua
Chapter 17 : Wedge-Shaped Bounded Continuum
Chapter 18 : Infinite and Semi-Infinite Cylindrical Continua. The Continuum is also Either Infinite Or Semi-Infinite in Z
Chapter 19 : Infinite and Semi-Infinite Cylindrical Continua Bounded by The Planes z = 0 and z = d
Chapter 20 : Bounded Cylindrical Continuum : The Independent Variable z Is Either Infinite or Semi-Infinite
Chapter 21 : Bounded Cylindrical Continuum : The Continuum is Also Bounded by The Planes z = 0 and z = d
Chapter 22 : Infinite and Semi-Infinite Cylindrical Continua
Chapter 23 : Infinite and Semi-Infinite Cylindrical Continua Bounded by The Planes z = 0 and z = d
Chapter 24 : Bounded Cylindrical Continuum : The Independent Variable z is Either Infinite or Semi-Infinite
Chapter 25 : The Continuum is also bounded by the Planes z = 0 and z = d
Chapter 26 : Wedge-Shaped Infinite and Semi-Infinite Continua
Chapter 27 : Wedge-Sheped Infinite and Semi-Infinite Continua Bounded by the Planes z = 0 and z = d
Chapter 28 : Wedge-Sheped Bounded Continuum. The Independent Variable z is either Infinite or Semi-Infinite
Chapter 29 : Wedge
Appendix A : A Supplement to Chapter 8
Appendix B : A Supplement to Chapter 9
Appendix C : A Supplement to Chapter 10
Appendix D : A Supplement to Chapter 11
Appendix E : A Table of Integrals
Appendix F : General Properties and A Table of Laplace Transforms
Appendix G : Series
Bibliography
Author Index
Subject Index
